All categories

2 years ago

Solve for x. 7x - 3 = 4x - 9

Mathematics

2 answers:

artcher [175]2 years ago

7 0

Answer:

x= -2

Step-by-step explanation:

7x-3=4x-9

3x-3= -9

3x= -6

x= -2

oee [108]2 years ago

3 0

Answer:

x=-2

Step-by-step explanation:

7x=4x-6

7x-4x=4x-6-4x

3x=-6

3x/3 = -6/3

x=-2

You might be interested in

A biology test is worth 100 points and has 36 questions.

Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

$M + E= 36$ --- Number of questions

$2M + 6E = 100$ --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in $M + E= 36$

$E = 36 - M$

Substitute 36 - M for E in $2M + 6E = 100$

$2M + 6(36 - M) = 100$

$2M + 216 - 6M = 100$

Collect Like Terms

$2M - 6M = 100 - 216$

$-4M = - 116$

Divide both sides by -4

$M = \frac{-116}{-4}$

$M = 29$

Substitute 29 for M in $E = 36 - M$

$E = 36 - 29$

$E = 7$

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

$2M + 6E = 100$ would be:

$4M + xE = 100$

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

$4 * 29 + x * 7 = 100$

$116 + 7x = 100$

Subtract 116 from both sides

$116-116 + 7x = 100 -116$

$7x = 100-116$

$7x = -16$

Make x the subject

$x = -\frac{16}{7}$

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0

2 years ago

The air temperature in the North Pole in the morning was 3 degrees Celsius. By 10:00 am the temperature dropped 12 degrees. By n

WINSTONCH [101]

Answer: -11 degrees Celsius

Step-by-step explanation:

First you subtract 3-12 leaving -9 then you add positive 5 to -9 giving you -4 then add 9 to equal 5 and lastly 5- 16 to get -11.

3 0

2 years ago

What is the explicit formula for this geometric sequence with recursive formula

Nonamiya [84]

generate the first few terms using the recursive formula

$a_{2}$ = - 7 × $\frac{1}{3}$ = - $\frac{7}{3}$

$a_{3}$ = - $\frac{7}{3}$ × $\frac{1}{3}$ = - $\frac{7}{9}$

$a_{4}$ = - $\frac{7}{9}$ × $\frac{1}{3}$ = - $\frac{7}{27}$

r = $a_{2}$ / $a_{1}$ = $\frac{1}{3}$

the n th term formula (explicit ) for a geometric sequence is

$a_{n}$ = $a_{1}$ $r^{n-1}$ = - 7( $\frac{1}{3}$ )^(n - 1)

6 0

2 years ago

Read 2 more answers

Drag each figure to show if it is similar to the figure shown or why it is not similar

natita [175]

Answer:

In the given shapes above, we can see that all shapes have four sides.

Above geometrical shapes could be named as Rectangles, parallelogram or quadrilateral.

First two shapes are Rectangles.

Third is a parallelogram.

Fourth and fifth shapes are Rectangles again.

Also we can say all those shapes with four side as quadrilaterals. (Note: A quadrilateral has four sides.)

Below shown shape has only three sides in it.

It is called a triangle when a shape has three sided close figure.

So, we could drag : Not similar - Different Type of shape.

4 0

2 years ago

Daniel wants to buy cookies for her friends. The area of a cookie is 113.04 in2. What is the circumference of the cookie?

prisoha [69]

Answer:

The circumference of the cookie is 37.68 inches.

Step-by-step explanation:

We have,

The area of a cookie is 113.04 square inches.

It is circular in shape. The area of circle is given by :

$A=\pi r^2$

r is radius of circle

$r=\sqrt{\dfrac{A}{\pi}} \\\\r=\sqrt{\dfrac{113.04}{3.14}} \\\\r=6\ \text{inch}$

The circumference of circular shaped object is given by :

$C=2\pi r\\\\C=2\times 3.14\times 6\\\\C=37.68\ \text{inch}$

So, the circumference of the cookie is 37.68 inches.

7 0

2 years ago